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Finding the Third Proportional to 3,780 and 7,296

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Solution

The third proportional to 3,780 and 7,296 is: 14,082.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780 : 7,296 = 7,296 : x
  2. Step 2: Convert to fraction form
    3,780/7,296 = 7,296/x
  3. Step 3: Cross multiply
    3,780x = 7,296 × 7,296
  4. Step 4: Simplify right side
    3,780x = 53,231,616
  5. Step 5: Solve for x
    x = 53,231,616/3,780
  6. Step 6: Final answer
    x = 14,082.44

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.